Search a number
-
+
301021120212 = 223293676413677
BaseRepresentation
bin1000110000101100100…
…00011100011011010100
31001202222200100022100020
410120112100130123110
514412442401321322
6350142011145140
730514404206241
oct4302620343324
91052880308306
10301021120212
11106731635aaa
124a40b4451b0
1322503552057
14107d89ca5c8
157c6c16305c
hex461641c6d4

301021120212 has 96 divisors (see below), whose sum is σ = 729917637120. Its totient is φ = 96439418880.

The previous prime is 301021120201. The next prime is 301021120217. The reversal of 301021120212 is 212021120103.

It is a super-2 number, since 2×3010211202122 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301021120191 and 301021120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301021120217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81864118 + ... + 81867794.

It is an arithmetic number, because the mean of its divisors is an integer number (7603308720).

Almost surely, 2301021120212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301021120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364958818560).

301021120212 is an abundant number, since it is smaller than the sum of its proper divisors (428896516908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

301021120212 is a wasteful number, since it uses less digits than its factorization.

301021120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 301021120212 its reverse (212021120103), we get a palindrome (513042240315).

The spelling of 301021120212 in words is "three hundred one billion, twenty-one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 367 641 734 1101 1282 1468 1923 2202 2564 3677 3846 4404 7354 7692 10643 11031 14708 18589 21286 22062 31929 37178 42572 44124 55767 63858 74356 106633 111534 127716 213266 223068 235247 319899 426532 470494 639798 705741 940988 1279596 1349459 1411482 2356957 2698918 2822964 4048377 4713914 5397836 6822163 7070871 8096754 9427828 13644326 14141742 16193508 20466489 27288652 28283484 39134311 40932978 68351753 78268622 81865956 117402933 136703506 156537244 205055259 234805866 273407012 410110518 469611732 820221036 865003219 1730006438 2595009657 3460012876 5190019314 10380038628 25085093351 50170186702 75255280053 100340373404 150510560106 301021120212